Search a number
-
+
228035808 = 2532721113113
BaseRepresentation
bin11011001011110…
…00110011100000
3120220002102022200
431211320303200
5431334121213
634343333200
75436162300
oct1545706340
9526072280
10228035808
111077a1750
1264451200
1338322240
14223dd600
1515046273
hexd978ce0

228035808 has 432 divisors, whose sum is σ = 894072816. Its totient is φ = 54190080.

The previous prime is 228035803. The next prime is 228035813. The reversal of 228035808 is 808530822.

228035808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228035803) and next prime (228035813).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228035803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017960 + ... + 2018072.

It is an arithmetic number, because the mean of its divisors is an integer number (2069613).

Almost surely, 2228035808 is an apocalyptic number.

228035808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228035808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447036408).

228035808 is an abundant number, since it is smaller than the sum of its proper divisors (666037008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228035808 is a wasteful number, since it uses less digits than its factorization.

228035808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 228035808 is about 15100.8545453560. The cubic root of 228035808 is about 610.9434545064.

The spelling of 228035808 in words is "two hundred twenty-eight million, thirty-five thousand, eight hundred eight".